IP1U1 SWII Q9

IP1U1 SWII Q9

IP 1
  1. Express \(2744\) as a product of its prime factors, giving your answer in index notation.
  2. Hence, find \(\sqrt[3]{2744}\) without the use of a calculator.
  3. Given that \(2744k\) is a perfect square, write down the smallest possible positive integer value of \(k\).

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Answer:(a) \(2^3\times7^3\) (b) \(14\) (c) \(k=14\)

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